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Simplifying 2(4X + -3) + 6 = 2(2X + -8X) + 18 + -15 Reorder the terms: 2(-3 + 4X) + 6 = 2(2X + -8X) + 18 + -15 (-3 * 2 + 4X * 2) + 6 = 2(2X + -8X) + 18 + -15 (-6 + 8X) + 6 = 2(2X + -8X) + 18 + -15 Reorder the terms: -6 + 6 + 8X = 2(2X + -8X) + 18 + -15 Combine like terms: -6 + 6 = 0 0 + 8X = 2(2X + -8X) + 18 + -15 8X = 2(2X + -8X) + 18 + -15 Combine like terms: 2X + -8X = -6X 8X = 2(-6X) + 18 + -15 Remove parenthesis around (-6X) 8X = 2 * -6X + 18 + -15 Multiply 2 * -6 8X = -12X + 18 + -15 Reorder the terms: 8X = 18 + -15 + -12X Combine like terms: 18 + -15 = 3 8X = 3 + -12X Solving 8X = 3 + -12X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12X' to each side of the equation. 8X + 12X = 3 + -12X + 12X Combine like terms: 8X + 12X = 20X 20X = 3 + -12X + 12X Combine like terms: -12X + 12X = 0 20X = 3 + 0 20X = 3 Divide each side by '20'. X = 0.15 Simplifying X = 0.15
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